On the value function of a priority queue with an application to a controlled polling model

On the value function of a priority queue with an application to a controlled polling model

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Article ID: iaor20013054
Country: Netherlands
Volume: 34
Issue: 1/4
Start Page Number: 199
End Page Number: 214
Publication Date: Jan 2000
Journal: Queueing Systems
Authors: ,
Keywords: control processes
Abstract:

We give a closed-form expression for the discounted weighted queue length and switching costs of a two-class single-server queueing model under a preemptive priority rule. These expressions are used to do a single step of policy iteration in a polling model with a dynamically controlled switching rule, starting from the preemptive priority rule. Numerical experiments show that this leads to a policy that performs well.

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